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Finding the Fourth Proportional to 230.96, 318.46 and 147.96

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Solution

The fourth proportional to 230.96, 318.46 and 147.96 is: 204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.96 : 318.46 = 147.96 : x
  2. Step 2: Convert to fraction form
    230.96/318.46 = 147.96/x
  3. Step 3: Cross multiply
    230.96x = 318.46 × 147.96
  4. Step 4: Simplify right side
    230.96x = 47,119.34
  5. Step 5: Solve for x
    x = 47,119.34/230.96
  6. Step 6: Final answer
    x = 204.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.